Mersenne: Conjecture about Mersenne primes

[Simon Rubinstein-Salzedo]

Last night I was reading a number theory textbook, and I thought of this odd conjecture: is one more than the primorial of a Mersenne prime always a prime? I wouldn't have a clue where to start on proving it, so if anyone had any ideas, I'd appreciate it. Thanks.   2^6972593 - 1 is prime. e^(i*pi) + 1 = 0. Zeta(2)=pi^2/6 Riemann said that all the nontrivial zeroes of the zeta function lie on the line Re{z}=1/2. Can you prove it? And don't forget to contour integrate along all the singularities in the complex plane. If it can't be proven, it probably isn't true. This is the e-mail address of Simon Rubinstein-Salzedo. When you read this e-mail, Simon will probably be at a math contest. Don't forget to check Simon's website at http://www.albanyconsort.com/simon Thanks SJRS